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Finding the Fourth Proportional to 10,481.46, 14,462.31 and 6,006.61

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Solution

The fourth proportional to 10,481.46, 14,462.31 and 6,006.61 is: 8,287.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,481.46 : 14,462.31 = 6,006.61 : x
  2. Step 2: Convert to fraction form
    10,481.46/14,462.31 = 6,006.61/x
  3. Step 3: Cross multiply
    10,481.46x = 14,462.31 × 6,006.61
  4. Step 4: Simplify right side
    10,481.46x = 86,869,455.87
  5. Step 5: Solve for x
    x = 86,869,455.87/10,481.46
  6. Step 6: Final answer
    x = 8,287.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.